Home
Class 12
MATHS
Let L be the set of all lines in XY plan...

Let L be the set of all lines in XY plane and R be the relation in L defined as `R={(L_(1),L_(2)),L_(1)` is parallel to `L_(2)}`. Show that R is an equilavence relation.

Promotional Banner

Topper's Solved these Questions

  • HP BOARD MARCH 2017

    OMEGA PUBLICATION|Exercise SERIES -B|78 Videos
  • HP BOARD MARCH 2017

    OMEGA PUBLICATION|Exercise SERIES -C|78 Videos
  • DIFFERENTIAL EQUATIONS

    OMEGA PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS (MCQs) |44 Videos
  • INTEGRALS

    OMEGA PUBLICATION|Exercise Multiple Choice Questions (MCQs) |52 Videos

Similar Questions

Explore conceptually related problems

Let L be the set of all lines in XY-pJane and R be the relation in L defined as R={(L_(1), L_(2)): L_(1) is parallel to L_2 }. Show that R is an equivalence relation. Find the set of all lines related to the line y = 2x + 4

Let L be the set of all lines in XY plane and R be the relation in L defined as R= {(L_1 ,L_2): L_1 is parallel to L_2 )}. Show that R is an equivalence relation. Find the set of all lines related to the line y = 2x + 4.

Let L be the set of all lines in the XY-plane and R be the relation in L defined by : R = {(l_i l_j) = l_i is parallel to l_j. Aai,j} Show that R is an equivalence relation. Find the set of all lines related to the y = 7x +5.

Let L be the set of all lines in the plane and R be the relation in L, defined as R = (L_1,L_2):L_1 is perpendicular to L_2) . Show that R is symmetric but neither reflexive nor transitive.

Let T be the set of all triangles in a plane with R a relation in T given by : R = {(T_1, T_2) : T_1 is congruent to T_2}. Show that R is an equivalence relation.

Let L be the set of all lines in a plane and R be the relation on L defined as R = (l,m) : l is perpendicular to m). Check whether R is reflexive, symmetric or transitive.

Show that relation R = {(L_1, L_2) : L_1 is parallel to L_2 }, defined on the set of all lines, is an equivalence relation.

Show that the relation R defined in the set A of all triangles as R={(T_(1),T_(2)):T_(1) is similar to T_(2)} is an equivalence relation.

Show that the relation R defined in the set A of all lines as R = {(L_1, L_2): L_1 and L_2 are parallel lines} is an equivalence relation.

OMEGA PUBLICATION-HP BOARD MARCH 2017-SERIES -C
  1. Let L be the set of all lines in XY plane and R be the relation in L d...

    Text Solution

    |

  2. The principal value of cos^(-1)(1/sqrt 2) is ............. .

    Text Solution

    |

  3. If A and B are symmetric matrices of same order then AB - BA is a :

    Text Solution

    |

  4. The drivateive of tan45^(@) is

    Text Solution

    |

  5. Find the approximate change in the volume V of a cube of side x metres...

    Text Solution

    |

  6. An antiderivative of sin mx is

    Text Solution

    |

  7. The degree of the differential equation (d^(3)y)/(dx^(3))+2((d^(2)y)/(...

    Text Solution

    |

  8. Find the projection of the vector hati+3hatj+7hatk on the vector 7hati...

    Text Solution

    |

  9. The dot product of the two vectors veca and vecb is

    Text Solution

    |

  10. The distance of the plane 2x-y+2z+3=0 from the point (3,2,1) is

    Text Solution

    |

  11. If A and b are any two events such that P(A)+P(B)-P(A "and"B)=P(A), t...

    Text Solution

    |

  12. By using elementary transformation find the inverse of the matrix : A ...

    Text Solution

    |

  13. Find the values of x and y from the equation 2[(x,5),(y,-3)]+[(3,-4),(...

    Text Solution

    |

  14. Find the values of k so that the function f, defined by f(x)={(kx+1,"i...

    Text Solution

    |

  15. Find the intervals in which the function f given by f(x)=4x^(3)-6x^(2)...

    Text Solution

    |

  16. Form a differential equation representing the family of curves y^(2) =...

    Text Solution

    |

  17. Let T be the set of all triangles in a plane with R a relation in T gi...

    Text Solution

    |

  18. Prove that cos^(-1)""(12)/(13)+sin^(-1)""(3)/(5)=sin^(-1)""(56)/(65)

    Text Solution

    |

  19. Write tan^(-1)((sqrt(1+x^(2))-1)/(x)),xne0 simplest form.

    Text Solution

    |

  20. Using the properties of determinants, show that |(1+a,1,1),(1,1+b,1),(...

    Text Solution

    |

  21. Find (dy)/(dx) if xy^2 + y^2 = tan x + y

    Text Solution

    |